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Simplifying (5p2 + -8p + 16) + 4 + -16 = 0 Reorder the terms: (16 + -8p + 5p2) + 4 + -16 = 0 Remove parenthesis around (16 + -8p + 5p2) 16 + -8p + 5p2 + 4 + -16 = 0 Reorder the terms: 16 + 4 + -16 + -8p + 5p2 = 0 Combine like terms: 16 + 4 = 20 20 + -16 + -8p + 5p2 = 0 Combine like terms: 20 + -16 = 4 4 + -8p + 5p2 = 0 Solving 4 + -8p + 5p2 = 0 Solving for variable 'p'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + -1.6p + p2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + -1.6p + -0.8 + p2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + -1.6p + p2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -1.6p + p2 = 0 + -0.8 -1.6p + p2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 -1.6p + p2 = -0.8 The p term is -1.6p. Take half its coefficient (-0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. -1.6p + 0.64 + p2 = -0.8 + 0.64 Reorder the terms: 0.64 + -1.6p + p2 = -0.8 + 0.64 Combine like terms: -0.8 + 0.64 = -0.16 0.64 + -1.6p + p2 = -0.16 Factor a perfect square on the left side: (p + -0.8)(p + -0.8) = -0.16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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